The rate at which an object moves is called speed or velocity depending if the direction does or doesnt matter
Answer:
(a) 2.624
(b) 1.334
Explanation:
The given data in the question is:
Mass = 2.95 kg
Spring constant "k" = 820 N/m
Compression of Spring "x" = 0.0800m
Using this data and the equation to find the answer for spring potential energy:
spring potential energy = 1/2 kx²
= 1/2 (820 N/m)(0.0800m)²
= 2.624 Joules
(b) - It is given that the surface is friction-less which means no loss of energy during the motion of spring. This means that all the potential energy possessed by the spring converts to Kinetic Energy of the block. We can equate spring potential energy with Kinetic energy to find the block's speed as below:
Kinetic Energy = 1/2mv² where "m" is mass and "v" is velocity of the object
1/2mv² = spring potential energy (found in part "a" above)
1/2(2.95 kg)v² = 2.624 Joules
v² = (2.624 x 2) / 2.95
v² = 1.779
v = √1.779
v = 1.334 m/s
Answer:
- the power to the air is 850 MW
- mass flow rate of the air is 84577.11 kg/s
Explanation:
Given the data in the question;
Net power generated; = 150 MW
Heat input; = 1000 MW
Power to air = ?
For closed cycles
Power to air Q₀ = Heat input; - Net power generated;
we substitute
Power to air Q₀ = 1000 - 150
Q₀ = 850 MW
Therefore, the power to the air is 850 MW
given that ΔT = 10 °C
mass flow rate of air required will be;
⇒ Q₀ / CpΔT
we know that specific heat of air at p=c ; Cp = 1.005 kJ/kg.K
we substitute
⇒ ( 850 × 10³ ) / [ 1.005 × 10 ]
⇒ ( 850 × 10³ ) / 10.05
⇒ 84577.11 kg/s
Therefore, mass flow rate of the air is 84577.11 kg/s
Answer:
The angle of incidence is
Explanation:
The diagram for this question is shown on the first uploaded image
From the question we are told that
The distance between the mirror and the wall is
The height of the above the mirror is
Generally the angle which the reflected ray make with the mirror is mathematically evaluated as
substituting values
From the diagram we can deduce that the angle of incidence is
So